计算物理 ›› 2009, Vol. 26 ›› Issue (2): 169-174.
• 研究论文 • 上一篇 下一篇
张秋葵, 罗立民
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ZHANG Qiukui, LUO Limin
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摘要： 由于Green应变具有单元翻转不变性,在大变形的仿真中有可能会出现单元的逆转,破坏模型网格的拓扑结构,导致仿真失败,因此提出一个新的有限单元模型,在采用Green应变度量变形同时把单元体积变化率和单元内压强关系引入到本构方程中,解决单元逆转问题;同时,模型导出的单元弹性势能是单元结点位移的多项式函数,有效地简化了共轭梯度法的求解,效率显著提高.实验结果表明,该模型可以应用于软组织大变形的实时仿真中.
关键词: 变形模型, 有限元, 实时仿真, 虚拟手术
Abstract: An anti-reversal FEM model is proposed.A relationship between compression ratio and pressure within compressed element is introduced in the constitutional equation. In the model elastic energy of an element is a polynomial function of nodal displacement.It simplifies evaluation in the conjugate gradient method and improves efficiency.It shows that the method is applicable to real-time simulation of soft tissues under large deformation.
Key words: deformable model, finite element method (FEM), real-time simulation, virtual surgery
中图分类号:
TP391
张秋葵, 罗立民. 一种抗单元逆转的软组织有限元模型[J]. 计算物理, 2009, 26(2): 169-174.
ZHANG Qiukui, LUO Limin. Anti-reversal Finite Element for Soft Tissue Modeling[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(2): 169-174.
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